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14413255231441 = 1110185932574637
BaseRepresentation
bin1101000110111101100011…
…1101010100011111010001
31220000220010112112211221011
43101233120331110133101
53342121321314401231
650353205200530521
73015215621020153
oct321573075243721
956026115484834
1014413255231441
114657699909610
121749476020a41
138072197b88b1
1437b868c38ad3
1519edc63629b1
hexd1bd8f547d1

14413255231441 has 32 divisors (see below), whose sum is σ = 15906026194560. Its totient is φ = 12951352128000.

The previous prime is 14413255231429. The next prime is 14413255231447.

14413255231441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14413255231441 - 25 = 14413255231409 is a prime.

It is a super-2 number, since 2×144132552314412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14413255231394 and 14413255231403.

It is not an unprimeable number, because it can be changed into a prime (14413255231447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3108312375 + ... + 3108317011.

It is an arithmetic number, because the mean of its divisors is an integer number (497063318580).

Almost surely, 214413255231441 is an apocalyptic number.

14413255231441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14413255231441 is a deficient number, since it is larger than the sum of its proper divisors (1492770963119).

14413255231441 is a wasteful number, since it uses less digits than its factorization.

14413255231441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865.

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 1441325 and 5231441, that added together give a palindrome (6672766).

The spelling of 14413255231441 in words is "fourteen trillion, four hundred thirteen billion, two hundred fifty-five million, two hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 11 101 859 1111 3257 4637 9449 35827 51007 86759 328957 468337 954349 2797763 3618527 3983183 5151707 15102709 30775393 43815013 166129799 282574063 402301483 1525373609 3108314693 4425316313 12973227031 16779109699 142705497341 1310295930131 14413255231441